Quantitative Aptitude Ques 156

Question: If $ P=2^{3}\times 3^{10}\times 5 $ and $ Q=2^{5}\times 3\times 7, $ then HCF of P and Q is

Options:

A) $ 2\cdot 3\cdot 5\cdot 7 $

B) $ 3\cdot 2^{3} $

C) $ 2^{2}\cdot 3^{7} $

D) $ 2^{5}\cdot 3^{10}\cdot 5\cdot 7 $

Show Answer

Answer:

Correct Answer: B

Solution:

  • Given, $ P=2^{3}\times 3^{10}\times 5 $ $ Q=2^{5}\times 3\times 7 $ [ $ \because 2^{3} $ and 3 is common factor to both P and O]

$ \therefore $ $ HCF=2^{3}\times 3 $

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